Prime p₀= 2400831850101362729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Roadranner
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2400830689832687807	0 2 90 92 102 104 114 116 204 206	-1160268674922
STPT(10)	2400831345270659141	0 2 36 38 78 80 120 122 156 158	-504830703588
STPT(10)	2400831541754312657	0 2 42 44 72 74 102 104 144 146	-308347050072
TPT(14)	2400831591130778549	0 2 78 80 120 122 132 134 162 164 258 260 330 332	-258970584180
STPT(10)	2400831628068268007	0 2 30 32 42 44 54 56 84 86	-222033094722
SPT(16)	2400831795570455867	0 12 42 86 104 114 152 156 200 204 242 252 270 314 344 356	-54530906862
TPT(14)	2400831898759986089	0 2 30 32 60 62 222 224 270 272 402 404 462 464	48658623360
TPT(14)	2400832076720922959	0 2 30 32 78 80 90 92 162 164 168 170 252 254	226619560230
STPT(10)	2400832159291437899	0 2 18 20 30 32 42 44 60 62	309190075170
STPT(10)	2400832235444763101	0 2 36 38 78 80 120 122 156 158	385343400372
STPT(10)	2400832584504885407	0 2 30 32 60 62 90 92 120 122	734403522678